TY - JOUR

T1 - On the Grothendieck–Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains

AU - Panin, I. A.

AU - Stavrova, A. K.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - Let R be a semilocal Dedekind domain, and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus Gm , R. It is proved that the kernel of the map(Formula Presanted.)induced by the inclusion of R into K is trivial. This result partially extends the Nisnevich theorem.

AB - Let R be a semilocal Dedekind domain, and let K be the field of fractions of R. Let G be a reductive semisimple simply connected R-group scheme such that every semisimple normal R-subgroup scheme of G contains a split R-torus Gm , R. It is proved that the kernel of the map(Formula Presanted.)induced by the inclusion of R into K is trivial. This result partially extends the Nisnevich theorem.

UR - http://www.scopus.com/inward/record.url?scp=85014763197&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3316-5

DO - 10.1007/s10958-017-3316-5

M3 - Article

AN - SCOPUS:85014763197

VL - 222

SP - 453

EP - 462

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -